On axiomizing and extending the quasi-arithmetic mean

dc.contributor.authorHansen, Maurice
dc.date.accessioned2018-05-29T08:46:48Z
dc.date.available2018-05-29T08:46:48Z
dc.date.issued2018
dc.description.abstractQuasi-arithmetic means contain many other mean value concepts such as the arithmetic, the geometric or the harmonic mean as special cases. Treating quasi-arithmetic means as sequences of mappings from I^n into I (for some real interval I) this paper shows that under mild additional conditions this mapping is uniquely determined by its values on I^2. This extends a well-known result by Huntington [4] where this claim is proven only for special cases.en
dc.identifier.urihttp://hdl.handle.net/2003/36880
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-18879
dc.language.isoende
dc.relation.ispartofseriesDiscussion Paper / SFB823;12/2018en
dc.subjectquasi-arithmetic meanen
dc.subjectstrong decomposabilityen
dc.subject.ddc310
dc.subject.ddc330
dc.subject.ddc620
dc.subject.rswkMittelwertde
dc.titleOn axiomizing and extending the quasi-arithmetic meanen
dc.typeTextde
dc.type.publicationtypeworkingPaperde
dcterms.accessRightsopen access
eldorado.secondarypublicationfalsede

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